Compare 30/35 and 90/81
1st number: 30/35, 2nd number: 1 9/81
30/35 is smaller than 90/81
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 81 is 2835
Next, find the equivalent fraction of both fractional numbers with denominator 2835 - For the 1st fraction, since 35 × 81 = 2835,
30/35 = 30 × 81/35 × 81 = 2430/2835 - Likewise, for the 2nd fraction, since 81 × 35 = 2835,
90/81 = 90 × 35/81 × 35 = 3150/2835 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 2430/2835 < 3150/2835 or 30/35 < 90/81
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